The legislative branch in a government has several main functions, including law-making, representation of the citizenry, and oversight of the executive branch. Legislators draft, debate, and vote on proposed laws, shaping the legal framework of the country. They also serve as a link between the government and the public, representing constituents' interests. Additionally, the legislative branch exercises checks and balances through budget approvals and investigations into executive actions, ensuring accountability within the government. Collectively, these functions maintain a functioning democracy.